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- Equazione differenziale esatta
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- Prodotto di binomi con termine comune
- Metodo FOIL
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Apply the formula: $x\left(a+b\right)$$=xa+xb$, where $a=\frac{dy}{dx}$, $b=1$, $x=e^y$ and $a+b=\frac{dy}{dx}+1$
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$e^y\frac{dy}{dx}+e^y=1$
Learn how to solve problems step by step online. e^y(dy/dx+1)=1. Apply the formula: x\left(a+b\right)=xa+xb, where a=\frac{dy}{dx}, b=1, x=e^y and a+b=\frac{dy}{dx}+1. Apply the formula: a\frac{b}{c}=\frac{ba}{c}, where a=e^y, b=dy and c=dx. Apply the formula: x+a=b\to x=b-a, where a=e^y, b=1, x+a=b=\frac{e^ydy}{dx}+e^y=1, x=\frac{e^ydy}{dx} and x+a=\frac{e^ydy}{dx}+e^y. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality.
